Synopsis of a Unified Theory for All Forces and Matter

TL;DR

This paper proposes a unified theory based on higher-dimensional Kaluza-Klein gravity that explains all forces and matter, including three fermion families, through symmetry breaking and gauge-Higgs unification.

Contribution

It introduces an information-complete framework in (9+1)-dimensional spacetime that naturally produces three fermion families and unifies gravity with gauge fields via symmetry breaking and compactification.

Findings

Predicts three fermion families with 16 particles each

Derives gauge-Higgs unification mechanism from higher dimensions

Results in a natural emergence of Standard Model-like features

Abstract

Assuming the Kaluza-Klein gravity interacting with elementary matter fermions in a (9+1)-dimensional spacetime ($\mathcal{M}_{9+1}$), we propose an information-complete unified theory for all forces and matter. Due to entanglement-driven symmetry breaking, the SO(9,1) symmetry of $\mathcal{M}_{9+1}$ is broken to $SO(3,1)\times SO(6)$, where SO(3,1) [SO(6)] is associated with gravity (gauge fields of matter fermions) in (3+1)-dimensional spacetime ($\mathcal{M}_{3+1}$). The informational completeness demands that matter fermions must appear in three families, each having 16 independent matter fermions. Meanwhile, the fermion family space is equipped with elementary SO(3) gauge fields in $\mathcal{M}_{9+1}$, giving rise to the Higgs mechanism in $\mathcal{M}_{3+1}$ through the gauge-Higgs unification. After quantum compactification of six extra dimensions, a trinity---the quantized gravity, the three-family fermions of total number 48, and their SO(6) and SO(3) gauge fields---naturally arises in an effective theory in $\mathcal{M}_{3+1}$. Possible routes of our theory to the Standard Model are briefly discussed.